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Quasi Distribution Amplitude of Heavy Quarkonia


The recently-proposed quasi distributions point out a promising direction for lattice QCD to investigate the light-cone correlators, such as parton distribution functions (PDF) and distribution amplitudes (DA), directly in the?x-space. Owing to its excessive simplicity, the heavy quarkonium can serve as an ideal theoretical laboratory to ascertain certain features of quasi-DA. In the framework of non-relativistic QCD (NRQCD) factorization, we compute the order-αs?correction to both light-cone distribution amplitudes (LCDA) and quasi-DA associated with the lowest-lying quarkonia, with the transverse momentum UV cutoff interpreted as the renormalization scale. We confirm analytically that the quasi-DA of a quarkonium does reduce to the respective LCDA in the infinite-momentum limit. We also observe that, provided that the momentum of a charmonium reaches about 2-3 times its mass, the quasi-DAs already converge to the LCDAs to a decent level. These results might provide some useful guidance for the future lattice study of the quasi distributions.
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Keywords: Heavy Quarkonia;
Recommended references: Yu Jia,Xiaonu Xiong.(2016).Quasi Distribution Amplitude of Heavy Quarkonia.[ChinaXiv:201609.01032] (Click&Copy)
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[V1] 2016-09-14 08:28:15 chinaXiv:201609.01032V1 Download
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